Continuous time collocation methods for Volterra-Fredholm integral equations
Second kind integral equations of mixed Volterra-Fredholm type \[ u(x,t)=g(x,t)+\lambda \int^{t}_{0}\int^{b}_{a}K(x,t,\xi,\tau)u(\xi,\tau)d\xi d\tau \] and their nonlinear counterparts arise in various physical and biological problems. We study existence and uniqueness of a solution, continuous time collocation, time discretization and their global and
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The primary purpose of this study is to offer an approximate technique for solving fractional linear Fredholm Volterra integro-differential equations, using the Ramadan group integral transform in conjunction with Hermite polynomials.
R.T. Matoog +2 more
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Numerical solution of fractional boundary value problem with caputo-fabrizio and its fractional integral. [PDF]
Moumen Bekkouche M +2 more
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Solving Fredholm Integral Equations Using Deep Learning. [PDF]
Guan Y, Fang T, Zhang D, Jin C.
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Numerical discussion of phase-lag mixed integral equations with general discontinuous kernels
In this research, the effect of phase-lag time on an integro-differential equation in position and time is studied in L2Ω×C0,T ...
Abeer M. Al-Bugami, M. A. Abdou
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Orthonormal Bernoulli Polynomials for Solving a Class of Two Dimensional Stochastic Volterra-Fredholm Integral Equations. [PDF]
Pourdarvish A +3 more
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COMPUTATIONAL METHODS FOR VOLTERRA-FREDHOLM INTEGRAL EQUATIONS [PDF]
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Approximate solution of linear Volterra-Fredholm integral equations via exponential spline function
This paper presents a novel numerical scheme for solving linear Volterra-Fredholm integral equations (V-FIEs) of the second kind, utilizing exponential spline functions (ESFs) in combination with fractional derivatives.
Rahel Jaza +3 more
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Solving Volterra-Fredholm integral equations by non-polynomial spline functions
It depends on our information, non-polynomial spline functions have not been applied for solving Volterra- Fredholm integral equations of the second kind yet.
S.H. Salim, K.H.F. Jwamer, R.K. Saeed
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Utilization of Haar wavelet collocation technique for fractal-fractional order problem. [PDF]
Shah K, Amin R, Abdeljawad T.
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